Geometry Problems, Online Education

Online Geometry Problem 108: Angle, Triangle, Median. Level: High School, College, Mathematics Education

In the figure below, given a triangle ABC, BD is the median to AC, angle BCA = a , and angle ABD = 90º - a.
Prove that x =
a. View or post a solution.

Geometry Problem Angle, Triangle, Median.
 

 

FACTS AND HINTS:

Geometry problem solving is one of the most challenging skills for students to learn. When a problem requires auxiliary construction, the difficulty of the problem increases drastically, perhaps because deciding which construction to make is an ill-structured problem. By “construction,” we mean adding geometric figures (points, lines, planes) to a problem figure that wasn’t mentioned as "given."

 

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